Soap film spanning electrically repulsive elastic protein links

Alfredo Marzocchi, Luca Lussardi, Giulia Bevilacqua

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study the equilibrium problem of a mechanical system consisting of two Kirchhoff rods linked in an arbitrary way and also forming knots, constrained not to touch themselves by means of electrical repulsion and tied by a soap film, as a model to describe the interaction between an electrically charged protein and a biomembrane. We prove the existence of a solution with minimum total energy, which may be quite irregular, by using techniques of the Calculus of Variations.
Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI
Volume96
DOIs
Publication statusPublished - 2018

Keywords

  • Kirchhoff-Plateau problem, Soap Film, Variational Methods

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